381072384 has 352 divisors, whose sum is σ = 1414886400. Its totient is φ = 98426880.

The previous prime is 381072371. The next prime is 381072401. The reversal of 381072384 is 483270183.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2128807 + ... + 2128985.

Almost surely, 2^381072384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381072384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707443200).

381072384 is an abundant number, since it is smaller than the sum of its proper divisors (1033814016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

381072384 is a wasteful number, since it uses less digits than its factorization.

381072384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 381072384 is about 19521.0753802141. The cubic root of 381072384 is about 724.9963592366.

The spelling of 381072384 in words is "three hundred eighty-one million, seventy-two thousand, three hundred eighty-four".